Modeling the dynamics of quantum systems coupled to large dimensional baths using effective energy states

التفاصيل البيبلوغرافية
العنوان: Modeling the dynamics of quantum systems coupled to large dimensional baths using effective energy states
المؤلفون: Attal, Loïse, Falvo, Cyril, Calvo, Florent, Parneix, Pascal
سنة النشر: 2023
المجموعة: Physics (Other)
Quantum Physics
مصطلحات موضوعية: Physics - Chemical Physics, Physics - Computational Physics, Quantum Physics
الوصف: The quantum dynamics of a low-dimensional system in contact with a large but finite harmonic bath is theoretically investigated by coarse-graining the bath into a reduced set of effective energy states. In this model, the couplings between the system and the bath are obtained from the statistical average over the discrete, degenerate effective states. Our model is aimed at intermediate bath sizes in which non-Markovian processes and energy transfer between the bath and the main system are important. The method is applied to a model system of a Morse oscillator coupled to 40 harmonic modes. The results are found to be in excellent agreement with the direct quantum dynamics simulations of Bouakline et al. [J. Phys. Chem. A 116, 11118-11127 (2012)], but at a much lower computational cost. Extension to larger baths is discussed in comparison to the time-convolutionless method. We also extend this study to the case of a microcanonical bath with finite initial internal energies. The computational efficiency and convergence properties of the effective bath states model with respect to relevant parameters are also discussed.
Comment: Accepted in J. Chem. Phys. 16 pages, 10 figures
نوع الوثيقة: Working Paper
DOI: 10.1063/5.0184299
URL الوصول: http://arxiv.org/abs/2312.03460
رقم الأكسشن: edsarx.2312.03460
قاعدة البيانات: arXiv